What is the Least Common Multiple of 67234 and 67240?

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 67234 and 67240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67234 and 67240, than apply into the LCM equation.

GCF(67234,67240) = 2
LCM(67234,67240) = ( 67234 × 67240) / 2
LCM(67234,67240) = 4520814160 / 2
LCM(67234,67240) = 2260407080

Least Common Multiple (LCM) of 67234 and 67240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67234 and 67240. First we will calculate the prime factors of 67234 and 67240.

Prime Factorization of 67234

Prime Factorization of 67240

Now multiplying the highest exponent prime factors to calculate the LCM of 67234 and 67240.

LCM(67234,67240) = 2³ × 33617¹ × 5¹ × 41²
LCM(67234,67240) = 2260407080