What is the Least Common Multiple of 62706 and 62715?
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 62706 and 62715 is 1310868930.
LCM(62706,62715) = 1310868930
Least Common Multiple of 62706 and 62715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62706 and 62715, than apply into the LCM equation.
GCF(62706,62715) = 3
LCM(62706,62715) = ( 62706 × 62715) / 3
LCM(62706,62715) = 3932606790 / 3
LCM(62706,62715) = 1310868930
Least Common Multiple (LCM) of 62706 and 62715 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62706 and 62715. First we will calculate the prime factors of 62706 and 62715.
Prime Factorization of 62706
Prime factors of 62706 are 2, 3, 7, 1493. Prime factorization of 62706 in exponential form is:
62706 = 21 × 31 × 71 × 14931
Prime Factorization of 62715
Prime factors of 62715 are 3, 5, 37, 113. Prime factorization of 62715 in exponential form is:
62715 = 31 × 51 × 371 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 62706 and 62715.
LCM(62706,62715) = 21 × 31 × 71 × 14931 × 51 × 371 × 1131
LCM(62706,62715) = 1310868930
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