What is the Least Common Multiple of 61264 and 61278?

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 61264 and 61278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61264 and 61278, than apply into the LCM equation.

GCF(61264,61278) = 14
LCM(61264,61278) = ( 61264 × 61278) / 14
LCM(61264,61278) = 3754135392 / 14
LCM(61264,61278) = 268152528

Least Common Multiple (LCM) of 61264 and 61278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61264 and 61278. First we will calculate the prime factors of 61264 and 61278.

Prime Factorization of 61264

Prime Factorization of 61278

Now multiplying the highest exponent prime factors to calculate the LCM of 61264 and 61278.

LCM(61264,61278) = 2⁴ × 7¹ × 547¹ × 3¹ × 1459¹
LCM(61264,61278) = 268152528