What is the Least Common Multiple of 59949 and 59955?

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 59949 and 59955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59949 and 59955, than apply into the LCM equation.

GCF(59949,59955) = 3
LCM(59949,59955) = ( 59949 × 59955) / 3
LCM(59949,59955) = 3594242295 / 3
LCM(59949,59955) = 1198080765

Least Common Multiple (LCM) of 59949 and 59955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59949 and 59955. First we will calculate the prime factors of 59949 and 59955.

Prime Factorization of 59949

Prime Factorization of 59955

Now multiplying the highest exponent prime factors to calculate the LCM of 59949 and 59955.

LCM(59949,59955) = 3² × 6661¹ × 5¹ × 7¹ × 571¹
LCM(59949,59955) = 1198080765