What is the Least Common Multiple of 88046 and 88053?

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 88046 and 88053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88046 and 88053, than apply into the LCM equation.

GCF(88046,88053) = 7
LCM(88046,88053) = ( 88046 × 88053) / 7
LCM(88046,88053) = 7752714438 / 7
LCM(88046,88053) = 1107530634

Least Common Multiple (LCM) of 88046 and 88053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88046 and 88053. First we will calculate the prime factors of 88046 and 88053.

Prime Factorization of 88046

Prime Factorization of 88053

Now multiplying the highest exponent prime factors to calculate the LCM of 88046 and 88053.

LCM(88046,88053) = 2¹ × 7² × 19¹ × 331¹ × 3¹ × 599¹
LCM(88046,88053) = 1107530634