What is the Least Common Multiple of 54614 and 54630?

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 54614 and 54630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54614 and 54630, than apply into the LCM equation.

GCF(54614,54630) = 2
LCM(54614,54630) = ( 54614 × 54630) / 2
LCM(54614,54630) = 2983562820 / 2
LCM(54614,54630) = 1491781410

Least Common Multiple (LCM) of 54614 and 54630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54614 and 54630. First we will calculate the prime factors of 54614 and 54630.

Prime Factorization of 54614

Prime Factorization of 54630

Now multiplying the highest exponent prime factors to calculate the LCM of 54614 and 54630.

LCM(54614,54630) = 2¹ × 7¹ × 47¹ × 83¹ × 3² × 5¹ × 607¹
LCM(54614,54630) = 1491781410