What is the Least Common Multiple of 67620 and 67630?

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 67620 and 67630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67620 and 67630, than apply into the LCM equation.

GCF(67620,67630) = 10
LCM(67620,67630) = ( 67620 × 67630) / 10
LCM(67620,67630) = 4573140600 / 10
LCM(67620,67630) = 457314060

Least Common Multiple (LCM) of 67620 and 67630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67620 and 67630. First we will calculate the prime factors of 67620 and 67630.

Prime Factorization of 67620

Prime Factorization of 67630

Now multiplying the highest exponent prime factors to calculate the LCM of 67620 and 67630.

LCM(67620,67630) = 2² × 3¹ × 5¹ × 7² × 23¹ × 6763¹
LCM(67620,67630) = 457314060