What is the Least Common Multiple of 63609 and 63623?

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 63609 and 63623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63609 and 63623, than apply into the LCM equation.

GCF(63609,63623) = 7
LCM(63609,63623) = ( 63609 × 63623) / 7
LCM(63609,63623) = 4046995407 / 7
LCM(63609,63623) = 578142201

Least Common Multiple (LCM) of 63609 and 63623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63609 and 63623. First we will calculate the prime factors of 63609 and 63623.

Prime Factorization of 63609

Prime Factorization of 63623

Now multiplying the highest exponent prime factors to calculate the LCM of 63609 and 63623.

LCM(63609,63623) = 3¹ × 7¹ × 13¹ × 233¹ × 61¹ × 149¹
LCM(63609,63623) = 578142201