What is the Least Common Multiple of 45102 and 45110?

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 45102 and 45110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45102 and 45110, than apply into the LCM equation.

GCF(45102,45110) = 2
LCM(45102,45110) = ( 45102 × 45110) / 2
LCM(45102,45110) = 2034551220 / 2
LCM(45102,45110) = 1017275610

Least Common Multiple (LCM) of 45102 and 45110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45102 and 45110. First we will calculate the prime factors of 45102 and 45110.

Prime Factorization of 45102

Prime Factorization of 45110

Now multiplying the highest exponent prime factors to calculate the LCM of 45102 and 45110.

LCM(45102,45110) = 2¹ × 3¹ × 7517¹ × 5¹ × 13¹ × 347¹
LCM(45102,45110) = 1017275610