What is the Least Common Multiple of 61860 and 61867?

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 61860 and 61867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61860 and 61867, than apply into the LCM equation.

GCF(61860,61867) = 1
LCM(61860,61867) = ( 61860 × 61867) / 1
LCM(61860,61867) = 3827092620 / 1
LCM(61860,61867) = 3827092620

Least Common Multiple (LCM) of 61860 and 61867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61860 and 61867. First we will calculate the prime factors of 61860 and 61867.

Prime Factorization of 61860

Prime Factorization of 61867

Now multiplying the highest exponent prime factors to calculate the LCM of 61860 and 61867.

LCM(61860,61867) = 2² × 3¹ × 5¹ × 1031¹ × 13¹ × 4759¹
LCM(61860,61867) = 3827092620