What is the Least Common Multiple of 52109 and 52124?

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 52109 and 52124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52109 and 52124, than apply into the LCM equation.

GCF(52109,52124) = 1
LCM(52109,52124) = ( 52109 × 52124) / 1
LCM(52109,52124) = 2716129516 / 1
LCM(52109,52124) = 2716129516

Least Common Multiple (LCM) of 52109 and 52124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52109 and 52124. First we will calculate the prime factors of 52109 and 52124.

Prime Factorization of 52109

Prime Factorization of 52124

Now multiplying the highest exponent prime factors to calculate the LCM of 52109 and 52124.

LCM(52109,52124) = 107¹ × 487¹ × 2² × 83¹ × 157¹
LCM(52109,52124) = 2716129516