What is the Least Common Multiple of 67920 and 67940?

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 67920 and 67940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67920 and 67940, than apply into the LCM equation.

GCF(67920,67940) = 20
LCM(67920,67940) = ( 67920 × 67940) / 20
LCM(67920,67940) = 4614484800 / 20
LCM(67920,67940) = 230724240

Least Common Multiple (LCM) of 67920 and 67940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67920 and 67940. First we will calculate the prime factors of 67920 and 67940.

Prime Factorization of 67920

Prime Factorization of 67940

Now multiplying the highest exponent prime factors to calculate the LCM of 67920 and 67940.

LCM(67920,67940) = 2⁴ × 3¹ × 5¹ × 283¹ × 43¹ × 79¹
LCM(67920,67940) = 230724240