What is the Least Common Multiple of 92616 and 92620?

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 92616 and 92620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92616 and 92620, than apply into the LCM equation.

GCF(92616,92620) = 4
LCM(92616,92620) = ( 92616 × 92620) / 4
LCM(92616,92620) = 8578093920 / 4
LCM(92616,92620) = 2144523480

Least Common Multiple (LCM) of 92616 and 92620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92616 and 92620. First we will calculate the prime factors of 92616 and 92620.

Prime Factorization of 92616

Prime Factorization of 92620

Now multiplying the highest exponent prime factors to calculate the LCM of 92616 and 92620.

LCM(92616,92620) = 2³ × 3¹ × 17¹ × 227¹ × 5¹ × 11¹ × 421¹
LCM(92616,92620) = 2144523480