What is the Least Common Multiple of 70922 and 70942?
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 70922 and 70942 is 2515674262.
LCM(70922,70942) = 2515674262
Least Common Multiple of 70922 and 70942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70922 and 70942, than apply into the LCM equation.
GCF(70922,70942) = 2
LCM(70922,70942) = ( 70922 × 70942) / 2
LCM(70922,70942) = 5031348524 / 2
LCM(70922,70942) = 2515674262
Least Common Multiple (LCM) of 70922 and 70942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70922 and 70942. First we will calculate the prime factors of 70922 and 70942.
Prime Factorization of 70922
Prime factors of 70922 are 2, 35461. Prime factorization of 70922 in exponential form is:
70922 = 21 × 354611
Prime Factorization of 70942
Prime factors of 70942 are 2, 79, 449. Prime factorization of 70942 in exponential form is:
70942 = 21 × 791 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 70922 and 70942.
LCM(70922,70942) = 21 × 354611 × 791 × 4491
LCM(70922,70942) = 2515674262
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