What is the Least Common Multiple of 34996 and 35002?

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 34996 and 35002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34996 and 35002, than apply into the LCM equation.

GCF(34996,35002) = 2
LCM(34996,35002) = ( 34996 × 35002) / 2
LCM(34996,35002) = 1224929992 / 2
LCM(34996,35002) = 612464996

Least Common Multiple (LCM) of 34996 and 35002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34996 and 35002. First we will calculate the prime factors of 34996 and 35002.

Prime Factorization of 34996

Prime Factorization of 35002

Now multiplying the highest exponent prime factors to calculate the LCM of 34996 and 35002.

LCM(34996,35002) = 2² × 13¹ × 673¹ × 11¹ × 37¹ × 43¹
LCM(34996,35002) = 612464996