What is the Least Common Multiple of 73480 and 73492?

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 73480 and 73492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73480 and 73492, than apply into the LCM equation.

GCF(73480,73492) = 4
LCM(73480,73492) = ( 73480 × 73492) / 4
LCM(73480,73492) = 5400192160 / 4
LCM(73480,73492) = 1350048040

Least Common Multiple (LCM) of 73480 and 73492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73480 and 73492. First we will calculate the prime factors of 73480 and 73492.

Prime Factorization of 73480

Prime Factorization of 73492

Now multiplying the highest exponent prime factors to calculate the LCM of 73480 and 73492.

LCM(73480,73492) = 2³ × 5¹ × 11¹ × 167¹ × 19¹ × 967¹
LCM(73480,73492) = 1350048040