What is the Least Common Multiple of 91180 and 91198?

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 91180 and 91198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91180 and 91198, than apply into the LCM equation.

GCF(91180,91198) = 2
LCM(91180,91198) = ( 91180 × 91198) / 2
LCM(91180,91198) = 8315433640 / 2
LCM(91180,91198) = 4157716820

Least Common Multiple (LCM) of 91180 and 91198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91180 and 91198. First we will calculate the prime factors of 91180 and 91198.

Prime Factorization of 91180

Prime Factorization of 91198

Now multiplying the highest exponent prime factors to calculate the LCM of 91180 and 91198.

LCM(91180,91198) = 2² × 5¹ × 47¹ × 97¹ × 45599¹
LCM(91180,91198) = 4157716820