What is the Least Common Multiple of 76757 and 76769?

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 76757 and 76769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76757 and 76769, than apply into the LCM equation.

GCF(76757,76769) = 1
LCM(76757,76769) = ( 76757 × 76769) / 1
LCM(76757,76769) = 5892558133 / 1
LCM(76757,76769) = 5892558133

Least Common Multiple (LCM) of 76757 and 76769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76757 and 76769. First we will calculate the prime factors of 76757 and 76769.

Prime Factorization of 76757

Prime Factorization of 76769

Now multiplying the highest exponent prime factors to calculate the LCM of 76757 and 76769.

LCM(76757,76769) = 76757¹ × 7¹ × 11¹ × 997¹
LCM(76757,76769) = 5892558133