What is the Least Common Multiple of 88144 and 88152?

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 88144 and 88152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88144 and 88152, than apply into the LCM equation.

GCF(88144,88152) = 8
LCM(88144,88152) = ( 88144 × 88152) / 8
LCM(88144,88152) = 7770069888 / 8
LCM(88144,88152) = 971258736

Least Common Multiple (LCM) of 88144 and 88152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88144 and 88152. First we will calculate the prime factors of 88144 and 88152.

Prime Factorization of 88144

Prime Factorization of 88152

Now multiplying the highest exponent prime factors to calculate the LCM of 88144 and 88152.

LCM(88144,88152) = 2⁴ × 7¹ × 787¹ × 3¹ × 3673¹
LCM(88144,88152) = 971258736