What is the Least Common Multiple of 63609 and 63628?

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 63628 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 63628, than apply into the LCM equation.

GCF(63609,63628) = 1
LCM(63609,63628) = ( 63609 × 63628) / 1
LCM(63609,63628) = 4047313452 / 1
LCM(63609,63628) = 4047313452

Least Common Multiple (LCM) of 63609 and 63628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63609 and 63628. First we will calculate the prime factors of 63609 and 63628.

Prime Factorization of 63609

Prime Factorization of 63628

Now multiplying the highest exponent prime factors to calculate the LCM of 63609 and 63628.

LCM(63609,63628) = 3¹ × 7¹ × 13¹ × 233¹ × 2² × 15907¹
LCM(63609,63628) = 4047313452