What is the Least Common Multiple of 67032 and 67048?

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 67032 and 67048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67032 and 67048, than apply into the LCM equation.

GCF(67032,67048) = 8
LCM(67032,67048) = ( 67032 × 67048) / 8
LCM(67032,67048) = 4494361536 / 8
LCM(67032,67048) = 561795192

Least Common Multiple (LCM) of 67032 and 67048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67032 and 67048. First we will calculate the prime factors of 67032 and 67048.

Prime Factorization of 67032

Prime Factorization of 67048

Now multiplying the highest exponent prime factors to calculate the LCM of 67032 and 67048.

LCM(67032,67048) = 2³ × 3² × 7² × 19¹ × 17² × 29¹
LCM(67032,67048) = 561795192