What is the Least Common Multiple of 91696 and 91714?

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 91696 and 91714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91696 and 91714, than apply into the LCM equation.

GCF(91696,91714) = 2
LCM(91696,91714) = ( 91696 × 91714) / 2
LCM(91696,91714) = 8409806944 / 2
LCM(91696,91714) = 4204903472

Least Common Multiple (LCM) of 91696 and 91714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91696 and 91714. First we will calculate the prime factors of 91696 and 91714.

Prime Factorization of 91696

Prime Factorization of 91714

Now multiplying the highest exponent prime factors to calculate the LCM of 91696 and 91714.

LCM(91696,91714) = 2⁴ × 11¹ × 521¹ × 7¹ × 6551¹
LCM(91696,91714) = 4204903472