What is the Least Common Multiple of 61541 and 61550?

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 61541 and 61550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61541 and 61550, than apply into the LCM equation.

GCF(61541,61550) = 1
LCM(61541,61550) = ( 61541 × 61550) / 1
LCM(61541,61550) = 3787848550 / 1
LCM(61541,61550) = 3787848550

Least Common Multiple (LCM) of 61541 and 61550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61541 and 61550. First we will calculate the prime factors of 61541 and 61550.

Prime Factorization of 61541

Prime Factorization of 61550

Now multiplying the highest exponent prime factors to calculate the LCM of 61541 and 61550.

LCM(61541,61550) = 19¹ × 41¹ × 79¹ × 2¹ × 5² × 1231¹
LCM(61541,61550) = 3787848550