What is the Least Common Multiple of 61932 and 61945?

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 61932 and 61945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61932 and 61945, than apply into the LCM equation.

GCF(61932,61945) = 13
LCM(61932,61945) = ( 61932 × 61945) / 13
LCM(61932,61945) = 3836377740 / 13
LCM(61932,61945) = 295105980

Least Common Multiple (LCM) of 61932 and 61945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61932 and 61945. First we will calculate the prime factors of 61932 and 61945.

Prime Factorization of 61932

Prime Factorization of 61945

Now multiplying the highest exponent prime factors to calculate the LCM of 61932 and 61945.

LCM(61932,61945) = 2² × 3¹ × 13¹ × 397¹ × 5¹ × 953¹
LCM(61932,61945) = 295105980