What is the Least Common Multiple of 60781 and 60797?

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 60781 and 60797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60781 and 60797, than apply into the LCM equation.

GCF(60781,60797) = 1
LCM(60781,60797) = ( 60781 × 60797) / 1
LCM(60781,60797) = 3695302457 / 1
LCM(60781,60797) = 3695302457

Least Common Multiple (LCM) of 60781 and 60797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60781 and 60797. First we will calculate the prime factors of 60781 and 60797.

Prime Factorization of 60781

Prime Factorization of 60797

Now multiplying the highest exponent prime factors to calculate the LCM of 60781 and 60797.

LCM(60781,60797) = 7¹ × 19¹ × 457¹ × 11¹ × 5527¹
LCM(60781,60797) = 3695302457