What is the Least Common Multiple of 39860 and 39877?

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 39860 and 39877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39860 and 39877, than apply into the LCM equation.

GCF(39860,39877) = 1
LCM(39860,39877) = ( 39860 × 39877) / 1
LCM(39860,39877) = 1589497220 / 1
LCM(39860,39877) = 1589497220

Least Common Multiple (LCM) of 39860 and 39877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39860 and 39877. First we will calculate the prime factors of 39860 and 39877.

Prime Factorization of 39860

Prime Factorization of 39877

Now multiplying the highest exponent prime factors to calculate the LCM of 39860 and 39877.

LCM(39860,39877) = 2² × 5¹ × 1993¹ × 39877¹
LCM(39860,39877) = 1589497220