What is the Least Common Multiple of 45854 and 45863?

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 45854 and 45863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45854 and 45863, than apply into the LCM equation.

GCF(45854,45863) = 1
LCM(45854,45863) = ( 45854 × 45863) / 1
LCM(45854,45863) = 2103002002 / 1
LCM(45854,45863) = 2103002002

Least Common Multiple (LCM) of 45854 and 45863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45854 and 45863. First we will calculate the prime factors of 45854 and 45863.

Prime Factorization of 45854

Prime Factorization of 45863

Now multiplying the highest exponent prime factors to calculate the LCM of 45854 and 45863.

LCM(45854,45863) = 2¹ × 101¹ × 227¹ × 45863¹
LCM(45854,45863) = 2103002002