What is the Least Common Multiple of 45994 and 46002?

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 45994 and 46002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45994 and 46002, than apply into the LCM equation.

GCF(45994,46002) = 2
LCM(45994,46002) = ( 45994 × 46002) / 2
LCM(45994,46002) = 2115815988 / 2
LCM(45994,46002) = 1057907994

Least Common Multiple (LCM) of 45994 and 46002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45994 and 46002. First we will calculate the prime factors of 45994 and 46002.

Prime Factorization of 45994

Prime Factorization of 46002

Now multiplying the highest exponent prime factors to calculate the LCM of 45994 and 46002.

LCM(45994,46002) = 2¹ × 13¹ × 29¹ × 61¹ × 3¹ × 11¹ × 17¹ × 41¹
LCM(45994,46002) = 1057907994