What is the Least Common Multiple of 59700 and 59717?

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 59700 and 59717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59700 and 59717, than apply into the LCM equation.

GCF(59700,59717) = 1
LCM(59700,59717) = ( 59700 × 59717) / 1
LCM(59700,59717) = 3565104900 / 1
LCM(59700,59717) = 3565104900

Least Common Multiple (LCM) of 59700 and 59717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59700 and 59717. First we will calculate the prime factors of 59700 and 59717.

Prime Factorization of 59700

Prime Factorization of 59717

Now multiplying the highest exponent prime factors to calculate the LCM of 59700 and 59717.

LCM(59700,59717) = 2² × 3¹ × 5² × 199¹ × 7¹ × 19¹ × 449¹
LCM(59700,59717) = 3565104900