What is the Least Common Multiple of 59700 and 59716?

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 59716 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 59716, than apply into the LCM equation.

GCF(59700,59716) = 4
LCM(59700,59716) = ( 59700 × 59716) / 4
LCM(59700,59716) = 3565045200 / 4
LCM(59700,59716) = 891261300

Least Common Multiple (LCM) of 59700 and 59716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59700 and 59716. First we will calculate the prime factors of 59700 and 59716.

Prime Factorization of 59700

Prime Factorization of 59716

Now multiplying the highest exponent prime factors to calculate the LCM of 59700 and 59716.

LCM(59700,59716) = 2² × 3¹ × 5² × 199¹ × 14929¹
LCM(59700,59716) = 891261300