What is the Least Common Multiple of 42924 and 42940?

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 42924 and 42940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42924 and 42940, than apply into the LCM equation.

GCF(42924,42940) = 4
LCM(42924,42940) = ( 42924 × 42940) / 4
LCM(42924,42940) = 1843156560 / 4
LCM(42924,42940) = 460789140

Least Common Multiple (LCM) of 42924 and 42940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42924 and 42940. First we will calculate the prime factors of 42924 and 42940.

Prime Factorization of 42924

Prime Factorization of 42940

Now multiplying the highest exponent prime factors to calculate the LCM of 42924 and 42940.

LCM(42924,42940) = 2² × 3¹ × 7² × 73¹ × 5¹ × 19¹ × 113¹
LCM(42924,42940) = 460789140