What is the Least Common Multiple of 34996 and 35009?

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 35009 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 35009, than apply into the LCM equation.

GCF(34996,35009) = 13
LCM(34996,35009) = ( 34996 × 35009) / 13
LCM(34996,35009) = 1225174964 / 13
LCM(34996,35009) = 94244228

Least Common Multiple (LCM) of 34996 and 35009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34996 and 35009. First we will calculate the prime factors of 34996 and 35009.

Prime Factorization of 34996

Prime Factorization of 35009

Now multiplying the highest exponent prime factors to calculate the LCM of 34996 and 35009.

LCM(34996,35009) = 2² × 13¹ × 673¹ × 2693¹
LCM(34996,35009) = 94244228