What is the Least Common Multiple of 52412 and 52429?

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 52412 and 52429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52412 and 52429, than apply into the LCM equation.

GCF(52412,52429) = 1
LCM(52412,52429) = ( 52412 × 52429) / 1
LCM(52412,52429) = 2747908748 / 1
LCM(52412,52429) = 2747908748

Least Common Multiple (LCM) of 52412 and 52429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52412 and 52429. First we will calculate the prime factors of 52412 and 52429.

Prime Factorization of 52412

Prime Factorization of 52429

Now multiplying the highest exponent prime factors to calculate the LCM of 52412 and 52429.

LCM(52412,52429) = 2² × 13103¹ × 13¹ × 37¹ × 109¹
LCM(52412,52429) = 2747908748