What is the Least Common Multiple of 45998 and 46013?

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 45998 and 46013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45998 and 46013, than apply into the LCM equation.

GCF(45998,46013) = 1
LCM(45998,46013) = ( 45998 × 46013) / 1
LCM(45998,46013) = 2116505974 / 1
LCM(45998,46013) = 2116505974

Least Common Multiple (LCM) of 45998 and 46013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45998 and 46013. First we will calculate the prime factors of 45998 and 46013.

Prime Factorization of 45998

Prime Factorization of 46013

Now multiplying the highest exponent prime factors to calculate the LCM of 45998 and 46013.

LCM(45998,46013) = 2¹ × 109¹ × 211¹ × 11¹ × 47¹ × 89¹
LCM(45998,46013) = 2116505974