What is the Least Common Multiple of 59646 and 59661?

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 59646 and 59661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59646 and 59661, than apply into the LCM equation.

GCF(59646,59661) = 3
LCM(59646,59661) = ( 59646 × 59661) / 3
LCM(59646,59661) = 3558540006 / 3
LCM(59646,59661) = 1186180002

Least Common Multiple (LCM) of 59646 and 59661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59646 and 59661. First we will calculate the prime factors of 59646 and 59661.

Prime Factorization of 59646

Prime Factorization of 59661

Now multiplying the highest exponent prime factors to calculate the LCM of 59646 and 59661.

LCM(59646,59661) = 2¹ × 3² × 9941¹ × 7¹ × 947¹
LCM(59646,59661) = 1186180002