What is the Least Common Multiple of 1070 and 1090?

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 1070 and 1090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1070 and 1090, than apply into the LCM equation.

GCF(1070,1090) = 10
LCM(1070,1090) = ( 1070 × 1090) / 10
LCM(1070,1090) = 1166300 / 10
LCM(1070,1090) = 116630

Least Common Multiple (LCM) of 1070 and 1090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1070 and 1090. First we will calculate the prime factors of 1070 and 1090.

Prime Factorization of 1070

Prime Factorization of 1090

Now multiplying the highest exponent prime factors to calculate the LCM of 1070 and 1090.

LCM(1070,1090) = 2¹ × 5¹ × 107¹ × 109¹
LCM(1070,1090) = 116630