What is the Least Common Multiple of 59751 and 59766?

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 59751 and 59766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59751 and 59766, than apply into the LCM equation.

GCF(59751,59766) = 3
LCM(59751,59766) = ( 59751 × 59766) / 3
LCM(59751,59766) = 3571078266 / 3
LCM(59751,59766) = 1190359422

Least Common Multiple (LCM) of 59751 and 59766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59751 and 59766. First we will calculate the prime factors of 59751 and 59766.

Prime Factorization of 59751

Prime Factorization of 59766

Now multiplying the highest exponent prime factors to calculate the LCM of 59751 and 59766.

LCM(59751,59766) = 3³ × 2213¹ × 2¹ × 7¹ × 1423¹
LCM(59751,59766) = 1190359422