What is the Least Common Multiple of 91053 and 91059?

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 91053 and 91059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91053 and 91059, than apply into the LCM equation.

GCF(91053,91059) = 3
LCM(91053,91059) = ( 91053 × 91059) / 3
LCM(91053,91059) = 8291195127 / 3
LCM(91053,91059) = 2763731709

Least Common Multiple (LCM) of 91053 and 91059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91053 and 91059. First we will calculate the prime factors of 91053 and 91059.

Prime Factorization of 91053

Prime Factorization of 91059

Now multiplying the highest exponent prime factors to calculate the LCM of 91053 and 91059.

LCM(91053,91059) = 3² × 67¹ × 151¹ × 127¹ × 239¹
LCM(91053,91059) = 2763731709