What is the Least Common Multiple of 61425 and 61436?

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 61425 and 61436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61425 and 61436, than apply into the LCM equation.

GCF(61425,61436) = 1
LCM(61425,61436) = ( 61425 × 61436) / 1
LCM(61425,61436) = 3773706300 / 1
LCM(61425,61436) = 3773706300

Least Common Multiple (LCM) of 61425 and 61436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61425 and 61436. First we will calculate the prime factors of 61425 and 61436.

Prime Factorization of 61425

Prime Factorization of 61436

Now multiplying the highest exponent prime factors to calculate the LCM of 61425 and 61436.

LCM(61425,61436) = 3³ × 5² × 7¹ × 13¹ × 2² × 15359¹
LCM(61425,61436) = 3773706300