What is the Least Common Multiple of 59610 and 59620?

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 59610 and 59620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59610 and 59620, than apply into the LCM equation.

GCF(59610,59620) = 10
LCM(59610,59620) = ( 59610 × 59620) / 10
LCM(59610,59620) = 3553948200 / 10
LCM(59610,59620) = 355394820

Least Common Multiple (LCM) of 59610 and 59620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59610 and 59620. First we will calculate the prime factors of 59610 and 59620.

Prime Factorization of 59610

Prime Factorization of 59620

Now multiplying the highest exponent prime factors to calculate the LCM of 59610 and 59620.

LCM(59610,59620) = 2² × 3¹ × 5¹ × 1987¹ × 11¹ × 271¹
LCM(59610,59620) = 355394820