What is the Least Common Multiple of 91059 and 91074?

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 91059 and 91074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91059 and 91074, than apply into the LCM equation.

GCF(91059,91074) = 3
LCM(91059,91074) = ( 91059 × 91074) / 3
LCM(91059,91074) = 8293107366 / 3
LCM(91059,91074) = 2764369122

Least Common Multiple (LCM) of 91059 and 91074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91059 and 91074. First we will calculate the prime factors of 91059 and 91074.

Prime Factorization of 91059

Prime Factorization of 91074

Now multiplying the highest exponent prime factors to calculate the LCM of 91059 and 91074.

LCM(91059,91074) = 3¹ × 127¹ × 239¹ × 2¹ × 43¹ × 353¹
LCM(91059,91074) = 2764369122