What is the Least Common Multiple of 90044 and 90057?

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 90044 and 90057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90044 and 90057, than apply into the LCM equation.

GCF(90044,90057) = 1
LCM(90044,90057) = ( 90044 × 90057) / 1
LCM(90044,90057) = 8109092508 / 1
LCM(90044,90057) = 8109092508

Least Common Multiple (LCM) of 90044 and 90057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90044 and 90057. First we will calculate the prime factors of 90044 and 90057.

Prime Factorization of 90044

Prime Factorization of 90057

Now multiplying the highest exponent prime factors to calculate the LCM of 90044 and 90057.

LCM(90044,90057) = 2² × 22511¹ × 3¹ × 11¹ × 2729¹
LCM(90044,90057) = 8109092508