What is the Least Common Multiple of 59712 and 59721?

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 59712 and 59721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59712 and 59721, than apply into the LCM equation.

GCF(59712,59721) = 3
LCM(59712,59721) = ( 59712 × 59721) / 3
LCM(59712,59721) = 3566060352 / 3
LCM(59712,59721) = 1188686784

Least Common Multiple (LCM) of 59712 and 59721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59712 and 59721. First we will calculate the prime factors of 59712 and 59721.

Prime Factorization of 59712

Prime Factorization of 59721

Now multiplying the highest exponent prime factors to calculate the LCM of 59712 and 59721.

LCM(59712,59721) = 2⁶ × 3¹ × 311¹ × 17¹ × 1171¹
LCM(59712,59721) = 1188686784