What is the Least Common Multiple of 52742 and 52752?

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 52742 and 52752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52742 and 52752, than apply into the LCM equation.

GCF(52742,52752) = 2
LCM(52742,52752) = ( 52742 × 52752) / 2
LCM(52742,52752) = 2782245984 / 2
LCM(52742,52752) = 1391122992

Least Common Multiple (LCM) of 52742 and 52752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52742 and 52752. First we will calculate the prime factors of 52742 and 52752.

Prime Factorization of 52742

Prime Factorization of 52752

Now multiplying the highest exponent prime factors to calculate the LCM of 52742 and 52752.

LCM(52742,52752) = 2⁴ × 26371¹ × 3¹ × 7¹ × 157¹
LCM(52742,52752) = 1391122992