What is the Least Common Multiple of 34985 and 34998?

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 34985 and 34998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34985 and 34998, than apply into the LCM equation.

GCF(34985,34998) = 1
LCM(34985,34998) = ( 34985 × 34998) / 1
LCM(34985,34998) = 1224405030 / 1
LCM(34985,34998) = 1224405030

Least Common Multiple (LCM) of 34985 and 34998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34985 and 34998. First we will calculate the prime factors of 34985 and 34998.

Prime Factorization of 34985

Prime Factorization of 34998

Now multiplying the highest exponent prime factors to calculate the LCM of 34985 and 34998.

LCM(34985,34998) = 5¹ × 6997¹ × 2¹ × 3¹ × 19¹ × 307¹
LCM(34985,34998) = 1224405030