What is the Least Common Multiple of 60781 and 60787?

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 60787 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 60787, than apply into the LCM equation.

GCF(60781,60787) = 1
LCM(60781,60787) = ( 60781 × 60787) / 1
LCM(60781,60787) = 3694694647 / 1
LCM(60781,60787) = 3694694647

Least Common Multiple (LCM) of 60781 and 60787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60781 and 60787. First we will calculate the prime factors of 60781 and 60787.

Prime Factorization of 60781

Prime Factorization of 60787

Now multiplying the highest exponent prime factors to calculate the LCM of 60781 and 60787.

LCM(60781,60787) = 7¹ × 19¹ × 457¹ × 89¹ × 683¹
LCM(60781,60787) = 3694694647