What is the Least Common Multiple of 68440 and 68456?

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 68440 and 68456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68440 and 68456, than apply into the LCM equation.

GCF(68440,68456) = 8
LCM(68440,68456) = ( 68440 × 68456) / 8
LCM(68440,68456) = 4685128640 / 8
LCM(68440,68456) = 585641080

Least Common Multiple (LCM) of 68440 and 68456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68440 and 68456. First we will calculate the prime factors of 68440 and 68456.

Prime Factorization of 68440

Prime Factorization of 68456

Now multiplying the highest exponent prime factors to calculate the LCM of 68440 and 68456.

LCM(68440,68456) = 2³ × 5¹ × 29¹ × 59¹ × 43¹ × 199¹
LCM(68440,68456) = 585641080