What is the Least Common Multiple of 60739 and 60746?

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 60739 and 60746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60739 and 60746, than apply into the LCM equation.

GCF(60739,60746) = 7
LCM(60739,60746) = ( 60739 × 60746) / 7
LCM(60739,60746) = 3689651294 / 7
LCM(60739,60746) = 527093042

Least Common Multiple (LCM) of 60739 and 60746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60739 and 60746. First we will calculate the prime factors of 60739 and 60746.

Prime Factorization of 60739

Prime Factorization of 60746

Now multiplying the highest exponent prime factors to calculate the LCM of 60739 and 60746.

LCM(60739,60746) = 7¹ × 8677¹ × 2¹ × 4339¹
LCM(60739,60746) = 527093042