What is the Least Common Multiple of 91316 and 91334?

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 91316 and 91334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91316 and 91334, than apply into the LCM equation.

GCF(91316,91334) = 2
LCM(91316,91334) = ( 91316 × 91334) / 2
LCM(91316,91334) = 8340255544 / 2
LCM(91316,91334) = 4170127772

Least Common Multiple (LCM) of 91316 and 91334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91316 and 91334. First we will calculate the prime factors of 91316 and 91334.

Prime Factorization of 91316

Prime Factorization of 91334

Now multiplying the highest exponent prime factors to calculate the LCM of 91316 and 91334.

LCM(91316,91334) = 2² × 37¹ × 617¹ × 45667¹
LCM(91316,91334) = 4170127772