What is the Least Common Multiple of 61678 and 61696?

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 61678 and 61696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61678 and 61696, than apply into the LCM equation.

GCF(61678,61696) = 2
LCM(61678,61696) = ( 61678 × 61696) / 2
LCM(61678,61696) = 3805285888 / 2
LCM(61678,61696) = 1902642944

Least Common Multiple (LCM) of 61678 and 61696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61678 and 61696. First we will calculate the prime factors of 61678 and 61696.

Prime Factorization of 61678

Prime Factorization of 61696

Now multiplying the highest exponent prime factors to calculate the LCM of 61678 and 61696.

LCM(61678,61696) = 2⁸ × 30839¹ × 241¹
LCM(61678,61696) = 1902642944