What is the Least Common Multiple of 40257 and 40267?

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 40257 and 40267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40257 and 40267, than apply into the LCM equation.

GCF(40257,40267) = 1
LCM(40257,40267) = ( 40257 × 40267) / 1
LCM(40257,40267) = 1621028619 / 1
LCM(40257,40267) = 1621028619

Least Common Multiple (LCM) of 40257 and 40267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40257 and 40267. First we will calculate the prime factors of 40257 and 40267.

Prime Factorization of 40257

Prime Factorization of 40267

Now multiplying the highest exponent prime factors to calculate the LCM of 40257 and 40267.

LCM(40257,40267) = 3⁴ × 7¹ × 71¹ × 67¹ × 601¹
LCM(40257,40267) = 1621028619