What is the Least Common Multiple of 53748 and 53752?

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 53748 and 53752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53748 and 53752, than apply into the LCM equation.

GCF(53748,53752) = 4
LCM(53748,53752) = ( 53748 × 53752) / 4
LCM(53748,53752) = 2889062496 / 4
LCM(53748,53752) = 722265624

Least Common Multiple (LCM) of 53748 and 53752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53748 and 53752. First we will calculate the prime factors of 53748 and 53752.

Prime Factorization of 53748

Prime Factorization of 53752

Now multiplying the highest exponent prime factors to calculate the LCM of 53748 and 53752.

LCM(53748,53752) = 2³ × 3² × 1493¹ × 6719¹
LCM(53748,53752) = 722265624