What is the Least Common Multiple of 61607 and 61621?

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 61607 and 61621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61607 and 61621, than apply into the LCM equation.

GCF(61607,61621) = 7
LCM(61607,61621) = ( 61607 × 61621) / 7
LCM(61607,61621) = 3796284947 / 7
LCM(61607,61621) = 542326421

Least Common Multiple (LCM) of 61607 and 61621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61607 and 61621. First we will calculate the prime factors of 61607 and 61621.

Prime Factorization of 61607

Prime Factorization of 61621

Now multiplying the highest exponent prime factors to calculate the LCM of 61607 and 61621.

LCM(61607,61621) = 7¹ × 13¹ × 677¹ × 8803¹
LCM(61607,61621) = 542326421