What is the Least Common Multiple of 49466 and 49470?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 49466 and 49470 is 1223541510.
LCM(49466,49470) = 1223541510
Least Common Multiple of 49466 and 49470 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49466 and 49470, than apply into the LCM equation.
GCF(49466,49470) = 2
LCM(49466,49470) = ( 49466 × 49470) / 2
LCM(49466,49470) = 2447083020 / 2
LCM(49466,49470) = 1223541510
Least Common Multiple (LCM) of 49466 and 49470 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49466 and 49470. First we will calculate the prime factors of 49466 and 49470.
Prime Factorization of 49466
Prime factors of 49466 are 2, 24733. Prime factorization of 49466 in exponential form is:
49466 = 21 × 247331
Prime Factorization of 49470
Prime factors of 49470 are 2, 3, 5, 17, 97. Prime factorization of 49470 in exponential form is:
49470 = 21 × 31 × 51 × 171 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 49466 and 49470.
LCM(49466,49470) = 21 × 247331 × 31 × 51 × 171 × 971
LCM(49466,49470) = 1223541510
Related Least Common Multiples of 49466
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Related Least Common Multiples of 49470
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- LCM of 49470 and 49484
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- LCM of 49470 and 49486
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