What is the Least Common Multiple of 60945 and 60951?

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 60945 and 60951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60945 and 60951, than apply into the LCM equation.

GCF(60945,60951) = 3
LCM(60945,60951) = ( 60945 × 60951) / 3
LCM(60945,60951) = 3714658695 / 3
LCM(60945,60951) = 1238219565

Least Common Multiple (LCM) of 60945 and 60951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60945 and 60951. First we will calculate the prime factors of 60945 and 60951.

Prime Factorization of 60945

Prime Factorization of 60951

Now multiplying the highest exponent prime factors to calculate the LCM of 60945 and 60951.

LCM(60945,60951) = 3¹ × 5¹ × 17¹ × 239¹ × 11¹ × 1847¹
LCM(60945,60951) = 1238219565