What is the Least Common Multiple of 68040 and 68048?

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 68040 and 68048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68040 and 68048, than apply into the LCM equation.

GCF(68040,68048) = 8
LCM(68040,68048) = ( 68040 × 68048) / 8
LCM(68040,68048) = 4629985920 / 8
LCM(68040,68048) = 578748240

Least Common Multiple (LCM) of 68040 and 68048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68040 and 68048. First we will calculate the prime factors of 68040 and 68048.

Prime Factorization of 68040

Prime Factorization of 68048

Now multiplying the highest exponent prime factors to calculate the LCM of 68040 and 68048.

LCM(68040,68048) = 2⁴ × 3⁵ × 5¹ × 7¹ × 4253¹
LCM(68040,68048) = 578748240