What is the Least Common Multiple of 60696 and 60702?

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 60696 and 60702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60696 and 60702, than apply into the LCM equation.

GCF(60696,60702) = 6
LCM(60696,60702) = ( 60696 × 60702) / 6
LCM(60696,60702) = 3684368592 / 6
LCM(60696,60702) = 614061432

Least Common Multiple (LCM) of 60696 and 60702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60696 and 60702. First we will calculate the prime factors of 60696 and 60702.

Prime Factorization of 60696

Prime Factorization of 60702

Now multiplying the highest exponent prime factors to calculate the LCM of 60696 and 60702.

LCM(60696,60702) = 2³ × 3³ × 281¹ × 67¹ × 151¹
LCM(60696,60702) = 614061432