What is the Least Common Multiple of 34980 and 34994?

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 34980 and 34994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34980 and 34994, than apply into the LCM equation.

GCF(34980,34994) = 2
LCM(34980,34994) = ( 34980 × 34994) / 2
LCM(34980,34994) = 1224090120 / 2
LCM(34980,34994) = 612045060

Least Common Multiple (LCM) of 34980 and 34994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34980 and 34994. First we will calculate the prime factors of 34980 and 34994.

Prime Factorization of 34980

Prime Factorization of 34994

Now multiplying the highest exponent prime factors to calculate the LCM of 34980 and 34994.

LCM(34980,34994) = 2² × 3¹ × 5¹ × 11¹ × 53¹ × 17497¹
LCM(34980,34994) = 612045060