What is the Least Common Multiple of 99160 and 99164?

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 99160 and 99164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99160 and 99164, than apply into the LCM equation.

GCF(99160,99164) = 4
LCM(99160,99164) = ( 99160 × 99164) / 4
LCM(99160,99164) = 9833102240 / 4
LCM(99160,99164) = 2458275560

Least Common Multiple (LCM) of 99160 and 99164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99160 and 99164. First we will calculate the prime factors of 99160 and 99164.

Prime Factorization of 99160

Prime Factorization of 99164

Now multiplying the highest exponent prime factors to calculate the LCM of 99160 and 99164.

LCM(99160,99164) = 2³ × 5¹ × 37¹ × 67¹ × 13¹ × 1907¹
LCM(99160,99164) = 2458275560