What is the Least Common Multiple of 56642 and 56650?
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 56642 and 56650 is 1604384650.
LCM(56642,56650) = 1604384650
Least Common Multiple of 56642 and 56650 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56642 and 56650, than apply into the LCM equation.
GCF(56642,56650) = 2
LCM(56642,56650) = ( 56642 × 56650) / 2
LCM(56642,56650) = 3208769300 / 2
LCM(56642,56650) = 1604384650
Least Common Multiple (LCM) of 56642 and 56650 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56642 and 56650. First we will calculate the prime factors of 56642 and 56650.
Prime Factorization of 56642
Prime factors of 56642 are 2, 127, 223. Prime factorization of 56642 in exponential form is:
56642 = 21 × 1271 × 2231
Prime Factorization of 56650
Prime factors of 56650 are 2, 5, 11, 103. Prime factorization of 56650 in exponential form is:
56650 = 21 × 52 × 111 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 56642 and 56650.
LCM(56642,56650) = 21 × 1271 × 2231 × 52 × 111 × 1031
LCM(56642,56650) = 1604384650
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