What is the Least Common Multiple of 1029 and 1040?

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 1029 and 1040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1029 and 1040, than apply into the LCM equation.

GCF(1029,1040) = 1
LCM(1029,1040) = ( 1029 × 1040) / 1
LCM(1029,1040) = 1070160 / 1
LCM(1029,1040) = 1070160

Least Common Multiple (LCM) of 1029 and 1040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1029 and 1040. First we will calculate the prime factors of 1029 and 1040.

Prime Factorization of 1029

Prime Factorization of 1040

Now multiplying the highest exponent prime factors to calculate the LCM of 1029 and 1040.

LCM(1029,1040) = 3¹ × 7³ × 2⁴ × 5¹ × 13¹
LCM(1029,1040) = 1070160