What is the Least Common Multiple of 61438 and 61456?

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 61438 and 61456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61438 and 61456, than apply into the LCM equation.

GCF(61438,61456) = 2
LCM(61438,61456) = ( 61438 × 61456) / 2
LCM(61438,61456) = 3775733728 / 2
LCM(61438,61456) = 1887866864

Least Common Multiple (LCM) of 61438 and 61456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61438 and 61456. First we will calculate the prime factors of 61438 and 61456.

Prime Factorization of 61438

Prime Factorization of 61456

Now multiplying the highest exponent prime factors to calculate the LCM of 61438 and 61456.

LCM(61438,61456) = 2⁴ × 13¹ × 17¹ × 139¹ × 23¹ × 167¹
LCM(61438,61456) = 1887866864