What is the Least Common Multiple of 62643 and 62649?

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 62643 and 62649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62643 and 62649, than apply into the LCM equation.

GCF(62643,62649) = 3
LCM(62643,62649) = ( 62643 × 62649) / 3
LCM(62643,62649) = 3924521307 / 3
LCM(62643,62649) = 1308173769

Least Common Multiple (LCM) of 62643 and 62649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62643 and 62649. First we will calculate the prime factors of 62643 and 62649.

Prime Factorization of 62643

Prime Factorization of 62649

Now multiplying the highest exponent prime factors to calculate the LCM of 62643 and 62649.

LCM(62643,62649) = 3² × 7¹ × 19¹ × 157¹ × 6961¹
LCM(62643,62649) = 1308173769