What is the Least Common Multiple of 29085 and 29092?

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 29085 and 29092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29085 and 29092, than apply into the LCM equation.

GCF(29085,29092) = 7
LCM(29085,29092) = ( 29085 × 29092) / 7
LCM(29085,29092) = 846140820 / 7
LCM(29085,29092) = 120877260

Least Common Multiple (LCM) of 29085 and 29092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29085 and 29092. First we will calculate the prime factors of 29085 and 29092.

Prime Factorization of 29085

Prime Factorization of 29092

Now multiplying the highest exponent prime factors to calculate the LCM of 29085 and 29092.

LCM(29085,29092) = 3¹ × 5¹ × 7¹ × 277¹ × 2² × 1039¹
LCM(29085,29092) = 120877260