What is the Least Common Multiple of 35090 and 35101?

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 35090 and 35101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35090 and 35101, than apply into the LCM equation.

GCF(35090,35101) = 11
LCM(35090,35101) = ( 35090 × 35101) / 11
LCM(35090,35101) = 1231694090 / 11
LCM(35090,35101) = 111972190

Least Common Multiple (LCM) of 35090 and 35101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35090 and 35101. First we will calculate the prime factors of 35090 and 35101.

Prime Factorization of 35090

Prime Factorization of 35101

Now multiplying the highest exponent prime factors to calculate the LCM of 35090 and 35101.

LCM(35090,35101) = 2¹ × 5¹ × 11² × 29¹ × 3191¹
LCM(35090,35101) = 111972190