What is the Least Common Multiple of 74085 and 74092?

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 74085 and 74092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74085 and 74092, than apply into the LCM equation.

GCF(74085,74092) = 1
LCM(74085,74092) = ( 74085 × 74092) / 1
LCM(74085,74092) = 5489105820 / 1
LCM(74085,74092) = 5489105820

Least Common Multiple (LCM) of 74085 and 74092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74085 and 74092. First we will calculate the prime factors of 74085 and 74092.

Prime Factorization of 74085

Prime Factorization of 74092

Now multiplying the highest exponent prime factors to calculate the LCM of 74085 and 74092.

LCM(74085,74092) = 3¹ × 5¹ × 11¹ × 449¹ × 2² × 18523¹
LCM(74085,74092) = 5489105820