What is the Least Common Multiple of 91808 and 91822?

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 91808 and 91822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91808 and 91822, than apply into the LCM equation.

GCF(91808,91822) = 2
LCM(91808,91822) = ( 91808 × 91822) / 2
LCM(91808,91822) = 8429994176 / 2
LCM(91808,91822) = 4214997088

Least Common Multiple (LCM) of 91808 and 91822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91808 and 91822. First we will calculate the prime factors of 91808 and 91822.

Prime Factorization of 91808

Prime Factorization of 91822

Now multiplying the highest exponent prime factors to calculate the LCM of 91808 and 91822.

LCM(91808,91822) = 2⁵ × 19¹ × 151¹ × 31¹ × 1481¹
LCM(91808,91822) = 4214997088