What is the Least Common Multiple of 91365 and 91374?

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 91365 and 91374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91365 and 91374, than apply into the LCM equation.

GCF(91365,91374) = 3
LCM(91365,91374) = ( 91365 × 91374) / 3
LCM(91365,91374) = 8348385510 / 3
LCM(91365,91374) = 2782795170

Least Common Multiple (LCM) of 91365 and 91374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91365 and 91374. First we will calculate the prime factors of 91365 and 91374.

Prime Factorization of 91365

Prime Factorization of 91374

Now multiplying the highest exponent prime factors to calculate the LCM of 91365 and 91374.

LCM(91365,91374) = 3¹ × 5¹ × 6091¹ × 2¹ × 97¹ × 157¹
LCM(91365,91374) = 2782795170