What is the Least Common Multiple of 21669 and 21684?

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 21669 and 21684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21669 and 21684, than apply into the LCM equation.

GCF(21669,21684) = 3
LCM(21669,21684) = ( 21669 × 21684) / 3
LCM(21669,21684) = 469870596 / 3
LCM(21669,21684) = 156623532

Least Common Multiple (LCM) of 21669 and 21684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21669 and 21684. First we will calculate the prime factors of 21669 and 21684.

Prime Factorization of 21669

Prime Factorization of 21684

Now multiplying the highest exponent prime factors to calculate the LCM of 21669 and 21684.

LCM(21669,21684) = 3¹ × 31¹ × 233¹ × 2² × 13¹ × 139¹
LCM(21669,21684) = 156623532