What is the Least Common Multiple of 90762 and 90769?

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 90762 and 90769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90762 and 90769, than apply into the LCM equation.

GCF(90762,90769) = 7
LCM(90762,90769) = ( 90762 × 90769) / 7
LCM(90762,90769) = 8238375978 / 7
LCM(90762,90769) = 1176910854

Least Common Multiple (LCM) of 90762 and 90769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90762 and 90769. First we will calculate the prime factors of 90762 and 90769.

Prime Factorization of 90762

Prime Factorization of 90769

Now multiplying the highest exponent prime factors to calculate the LCM of 90762 and 90769.

LCM(90762,90769) = 2¹ × 3¹ × 7¹ × 2161¹ × 12967¹
LCM(90762,90769) = 1176910854