What is the Least Common Multiple of 56628 and 56648?

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 56628 and 56648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56628 and 56648, than apply into the LCM equation.

GCF(56628,56648) = 4
LCM(56628,56648) = ( 56628 × 56648) / 4
LCM(56628,56648) = 3207862944 / 4
LCM(56628,56648) = 801965736

Least Common Multiple (LCM) of 56628 and 56648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56628 and 56648. First we will calculate the prime factors of 56628 and 56648.

Prime Factorization of 56628

Prime Factorization of 56648

Now multiplying the highest exponent prime factors to calculate the LCM of 56628 and 56648.

LCM(56628,56648) = 2³ × 3² × 11² × 13¹ × 73¹ × 97¹
LCM(56628,56648) = 801965736