What is the Least Common Multiple of 61520 and 61539?

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 61520 and 61539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61520 and 61539, than apply into the LCM equation.

GCF(61520,61539) = 1
LCM(61520,61539) = ( 61520 × 61539) / 1
LCM(61520,61539) = 3785879280 / 1
LCM(61520,61539) = 3785879280

Least Common Multiple (LCM) of 61520 and 61539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61520 and 61539. First we will calculate the prime factors of 61520 and 61539.

Prime Factorization of 61520

Prime Factorization of 61539

Now multiplying the highest exponent prime factors to calculate the LCM of 61520 and 61539.

LCM(61520,61539) = 2⁴ × 5¹ × 769¹ × 3¹ × 73¹ × 281¹
LCM(61520,61539) = 3785879280