What is the Least Common Multiple of 61460 and 61478?

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 61460 and 61478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61460 and 61478, than apply into the LCM equation.

GCF(61460,61478) = 2
LCM(61460,61478) = ( 61460 × 61478) / 2
LCM(61460,61478) = 3778437880 / 2
LCM(61460,61478) = 1889218940

Least Common Multiple (LCM) of 61460 and 61478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61460 and 61478. First we will calculate the prime factors of 61460 and 61478.

Prime Factorization of 61460

Prime Factorization of 61478

Now multiplying the highest exponent prime factors to calculate the LCM of 61460 and 61478.

LCM(61460,61478) = 2² × 5¹ × 7¹ × 439¹ × 59¹ × 521¹
LCM(61460,61478) = 1889218940