What is the Least Common Multiple of 62796 and 62802?

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 62796 and 62802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62796 and 62802, than apply into the LCM equation.

GCF(62796,62802) = 6
LCM(62796,62802) = ( 62796 × 62802) / 6
LCM(62796,62802) = 3943714392 / 6
LCM(62796,62802) = 657285732

Least Common Multiple (LCM) of 62796 and 62802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62796 and 62802. First we will calculate the prime factors of 62796 and 62802.

Prime Factorization of 62796

Prime Factorization of 62802

Now multiplying the highest exponent prime factors to calculate the LCM of 62796 and 62802.

LCM(62796,62802) = 2² × 3³ × 5233¹ × 1163¹
LCM(62796,62802) = 657285732