What is the Least Common Multiple of 52746 and 52751?

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 52746 and 52751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52746 and 52751, than apply into the LCM equation.

GCF(52746,52751) = 1
LCM(52746,52751) = ( 52746 × 52751) / 1
LCM(52746,52751) = 2782404246 / 1
LCM(52746,52751) = 2782404246

Least Common Multiple (LCM) of 52746 and 52751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52746 and 52751. First we will calculate the prime factors of 52746 and 52751.

Prime Factorization of 52746

Prime Factorization of 52751

Now multiplying the highest exponent prime factors to calculate the LCM of 52746 and 52751.

LCM(52746,52751) = 2¹ × 3¹ × 59¹ × 149¹ × 17¹ × 29¹ × 107¹
LCM(52746,52751) = 2782404246