What is the Least Common Multiple of 67228 and 67246?

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 67228 and 67246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67228 and 67246, than apply into the LCM equation.

GCF(67228,67246) = 2
LCM(67228,67246) = ( 67228 × 67246) / 2
LCM(67228,67246) = 4520814088 / 2
LCM(67228,67246) = 2260407044

Least Common Multiple (LCM) of 67228 and 67246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67228 and 67246. First we will calculate the prime factors of 67228 and 67246.

Prime Factorization of 67228

Prime Factorization of 67246

Now multiplying the highest exponent prime factors to calculate the LCM of 67228 and 67246.

LCM(67228,67246) = 2² × 7⁵ × 33623¹
LCM(67228,67246) = 2260407044