What is the Least Common Multiple of 47860 and 47864?

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 47860 and 47864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47860 and 47864, than apply into the LCM equation.

GCF(47860,47864) = 4
LCM(47860,47864) = ( 47860 × 47864) / 4
LCM(47860,47864) = 2290771040 / 4
LCM(47860,47864) = 572692760

Least Common Multiple (LCM) of 47860 and 47864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47860 and 47864. First we will calculate the prime factors of 47860 and 47864.

Prime Factorization of 47860

Prime Factorization of 47864

Now multiplying the highest exponent prime factors to calculate the LCM of 47860 and 47864.

LCM(47860,47864) = 2³ × 5¹ × 2393¹ × 31¹ × 193¹
LCM(47860,47864) = 572692760