What is the Least Common Multiple of 81029 and 81042?

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 81029 and 81042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81029 and 81042, than apply into the LCM equation.

GCF(81029,81042) = 13
LCM(81029,81042) = ( 81029 × 81042) / 13
LCM(81029,81042) = 6566752218 / 13
LCM(81029,81042) = 505134786

Least Common Multiple (LCM) of 81029 and 81042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81029 and 81042. First we will calculate the prime factors of 81029 and 81042.

Prime Factorization of 81029

Prime Factorization of 81042

Now multiplying the highest exponent prime factors to calculate the LCM of 81029 and 81042.

LCM(81029,81042) = 13¹ × 23¹ × 271¹ × 2¹ × 3¹ × 1039¹
LCM(81029,81042) = 505134786