What is the Least Common Multiple of 62940 and 62945?

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 62940 and 62945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62940 and 62945, than apply into the LCM equation.

GCF(62940,62945) = 5
LCM(62940,62945) = ( 62940 × 62945) / 5
LCM(62940,62945) = 3961758300 / 5
LCM(62940,62945) = 792351660

Least Common Multiple (LCM) of 62940 and 62945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62940 and 62945. First we will calculate the prime factors of 62940 and 62945.

Prime Factorization of 62940

Prime Factorization of 62945

Now multiplying the highest exponent prime factors to calculate the LCM of 62940 and 62945.

LCM(62940,62945) = 2² × 3¹ × 5¹ × 1049¹ × 12589¹
LCM(62940,62945) = 792351660