What is the Least Common Multiple of 62672 and 62678?

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 of 62672 and 62678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62672 and 62678, than apply into the LCM equation.

GCF(62672,62678) = 2
LCM(62672,62678) = ( 62672 × 62678) / 2
LCM(62672,62678) = 3928155616 / 2
LCM(62672,62678) = 1964077808

Least Common Multiple (LCM) of 62672 and 62678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62672 and 62678. First we will calculate the prime factors of 62672 and 62678.

Prime Factorization of 62672

Prime Factorization of 62678

Now multiplying the highest exponent prime factors to calculate the LCM of 62672 and 62678.

LCM(62672,62678) = 2⁴ × 3917¹ × 7¹ × 11² × 37¹
LCM(62672,62678) = 1964077808