What is the Least Common Multiple of 91208 and 91214?

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 91208 and 91214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91208 and 91214, than apply into the LCM equation.

GCF(91208,91214) = 2
LCM(91208,91214) = ( 91208 × 91214) / 2
LCM(91208,91214) = 8319446512 / 2
LCM(91208,91214) = 4159723256

Least Common Multiple (LCM) of 91208 and 91214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91208 and 91214. First we will calculate the prime factors of 91208 and 91214.

Prime Factorization of 91208

Prime Factorization of 91214

Now multiplying the highest exponent prime factors to calculate the LCM of 91208 and 91214.

LCM(91208,91214) = 2³ × 13¹ × 877¹ × 59¹ × 773¹
LCM(91208,91214) = 4159723256