What is the Least Common Multiple of 73048 and 73067?

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 73048 and 73067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73048 and 73067, than apply into the LCM equation.

GCF(73048,73067) = 1
LCM(73048,73067) = ( 73048 × 73067) / 1
LCM(73048,73067) = 5337398216 / 1
LCM(73048,73067) = 5337398216

Least Common Multiple (LCM) of 73048 and 73067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73048 and 73067. First we will calculate the prime factors of 73048 and 73067.

Prime Factorization of 73048

Prime Factorization of 73067

Now multiplying the highest exponent prime factors to calculate the LCM of 73048 and 73067.

LCM(73048,73067) = 2³ × 23¹ × 397¹ × 31¹ × 2357¹
LCM(73048,73067) = 5337398216