What is the Least Common Multiple of 62649 and 62667?

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 62649 and 62667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62649 and 62667, than apply into the LCM equation.

GCF(62649,62667) = 9
LCM(62649,62667) = ( 62649 × 62667) / 9
LCM(62649,62667) = 3926024883 / 9
LCM(62649,62667) = 436224987

Least Common Multiple (LCM) of 62649 and 62667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62649 and 62667. First we will calculate the prime factors of 62649 and 62667.

Prime Factorization of 62649

Prime Factorization of 62667

Now multiplying the highest exponent prime factors to calculate the LCM of 62649 and 62667.

LCM(62649,62667) = 3³ × 6961¹ × 11¹ × 211¹
LCM(62649,62667) = 436224987