What is the Least Common Multiple of 40114 and 40128?

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 40114 and 40128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40114 and 40128, than apply into the LCM equation.

GCF(40114,40128) = 2
LCM(40114,40128) = ( 40114 × 40128) / 2
LCM(40114,40128) = 1609694592 / 2
LCM(40114,40128) = 804847296

Least Common Multiple (LCM) of 40114 and 40128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40114 and 40128. First we will calculate the prime factors of 40114 and 40128.

Prime Factorization of 40114

Prime Factorization of 40128

Now multiplying the highest exponent prime factors to calculate the LCM of 40114 and 40128.

LCM(40114,40128) = 2⁶ × 31¹ × 647¹ × 3¹ × 11¹ × 19¹
LCM(40114,40128) = 804847296