What is the Least Common Multiple of 56820 and 56836?

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 56820 and 56836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56820 and 56836, than apply into the LCM equation.

GCF(56820,56836) = 4
LCM(56820,56836) = ( 56820 × 56836) / 4
LCM(56820,56836) = 3229421520 / 4
LCM(56820,56836) = 807355380

Least Common Multiple (LCM) of 56820 and 56836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56820 and 56836. First we will calculate the prime factors of 56820 and 56836.

Prime Factorization of 56820

Prime Factorization of 56836

Now multiplying the highest exponent prime factors to calculate the LCM of 56820 and 56836.

LCM(56820,56836) = 2² × 3¹ × 5¹ × 947¹ × 13¹ × 1093¹
LCM(56820,56836) = 807355380