What is the Least Common Multiple of 60536 and 60546?

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 60536 and 60546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60536 and 60546, than apply into the LCM equation.

GCF(60536,60546) = 2
LCM(60536,60546) = ( 60536 × 60546) / 2
LCM(60536,60546) = 3665212656 / 2
LCM(60536,60546) = 1832606328

Least Common Multiple (LCM) of 60536 and 60546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60536 and 60546. First we will calculate the prime factors of 60536 and 60546.

Prime Factorization of 60536

Prime Factorization of 60546

Now multiplying the highest exponent prime factors to calculate the LCM of 60536 and 60546.

LCM(60536,60546) = 2³ × 7¹ × 23¹ × 47¹ × 3¹ × 10091¹
LCM(60536,60546) = 1832606328