What is the Least Common Multiple of 42814 and 42820?

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 42814 and 42820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42814 and 42820, than apply into the LCM equation.

GCF(42814,42820) = 2
LCM(42814,42820) = ( 42814 × 42820) / 2
LCM(42814,42820) = 1833295480 / 2
LCM(42814,42820) = 916647740

Least Common Multiple (LCM) of 42814 and 42820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42814 and 42820. First we will calculate the prime factors of 42814 and 42820.

Prime Factorization of 42814

Prime Factorization of 42820

Now multiplying the highest exponent prime factors to calculate the LCM of 42814 and 42820.

LCM(42814,42820) = 2² × 21407¹ × 5¹ × 2141¹
LCM(42814,42820) = 916647740