What is the Least Common Multiple of 45990 and 46009?

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 45990 and 46009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45990 and 46009, than apply into the LCM equation.

GCF(45990,46009) = 1
LCM(45990,46009) = ( 45990 × 46009) / 1
LCM(45990,46009) = 2115953910 / 1
LCM(45990,46009) = 2115953910

Least Common Multiple (LCM) of 45990 and 46009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45990 and 46009. First we will calculate the prime factors of 45990 and 46009.

Prime Factorization of 45990

Prime Factorization of 46009

Now multiplying the highest exponent prime factors to calculate the LCM of 45990 and 46009.

LCM(45990,46009) = 2¹ × 3² × 5¹ × 7¹ × 73¹ × 139¹ × 331¹
LCM(45990,46009) = 2115953910