What is the Least Common Multiple of 74480 and 74485?

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 74480 and 74485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74480 and 74485, than apply into the LCM equation.

GCF(74480,74485) = 5
LCM(74480,74485) = ( 74480 × 74485) / 5
LCM(74480,74485) = 5547642800 / 5
LCM(74480,74485) = 1109528560

Least Common Multiple (LCM) of 74480 and 74485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74480 and 74485. First we will calculate the prime factors of 74480 and 74485.

Prime Factorization of 74480

Prime Factorization of 74485

Now multiplying the highest exponent prime factors to calculate the LCM of 74480 and 74485.

LCM(74480,74485) = 2⁴ × 5¹ × 7² × 19¹ × 14897¹
LCM(74480,74485) = 1109528560