What is the Least Common Multiple of 45985 and 45995?

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 45985 and 45995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45985 and 45995, than apply into the LCM equation.

GCF(45985,45995) = 5
LCM(45985,45995) = ( 45985 × 45995) / 5
LCM(45985,45995) = 2115080075 / 5
LCM(45985,45995) = 423016015

Least Common Multiple (LCM) of 45985 and 45995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45985 and 45995. First we will calculate the prime factors of 45985 and 45995.

Prime Factorization of 45985

Prime Factorization of 45995

Now multiplying the highest exponent prime factors to calculate the LCM of 45985 and 45995.

LCM(45985,45995) = 5¹ × 17¹ × 541¹ × 9199¹
LCM(45985,45995) = 423016015