What is the Least Common Multiple of 61534 and 61545?

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 61534 and 61545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61534 and 61545, than apply into the LCM equation.

GCF(61534,61545) = 11
LCM(61534,61545) = ( 61534 × 61545) / 11
LCM(61534,61545) = 3787110030 / 11
LCM(61534,61545) = 344282730

Least Common Multiple (LCM) of 61534 and 61545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61534 and 61545. First we will calculate the prime factors of 61534 and 61545.

Prime Factorization of 61534

Prime Factorization of 61545

Now multiplying the highest exponent prime factors to calculate the LCM of 61534 and 61545.

LCM(61534,61545) = 2¹ × 11¹ × 2797¹ × 3¹ × 5¹ × 373¹
LCM(61534,61545) = 344282730