What is the Least Common Multiple of 61536 and 61554?

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 61536 and 61554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61536 and 61554, than apply into the LCM equation.

GCF(61536,61554) = 6
LCM(61536,61554) = ( 61536 × 61554) / 6
LCM(61536,61554) = 3787786944 / 6
LCM(61536,61554) = 631297824

Least Common Multiple (LCM) of 61536 and 61554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61536 and 61554. First we will calculate the prime factors of 61536 and 61554.

Prime Factorization of 61536

Prime Factorization of 61554

Now multiplying the highest exponent prime factors to calculate the LCM of 61536 and 61554.

LCM(61536,61554) = 2⁵ × 3¹ × 641¹ × 10259¹
LCM(61536,61554) = 631297824