What is the Least Common Multiple of 76248 and 76252?

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 76248 and 76252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76248 and 76252, than apply into the LCM equation.

GCF(76248,76252) = 4
LCM(76248,76252) = ( 76248 × 76252) / 4
LCM(76248,76252) = 5814062496 / 4
LCM(76248,76252) = 1453515624

Least Common Multiple (LCM) of 76248 and 76252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76248 and 76252. First we will calculate the prime factors of 76248 and 76252.

Prime Factorization of 76248

Prime Factorization of 76252

Now multiplying the highest exponent prime factors to calculate the LCM of 76248 and 76252.

LCM(76248,76252) = 2³ × 3³ × 353¹ × 11¹ × 1733¹
LCM(76248,76252) = 1453515624