What is the Least Common Multiple of 77692 and 77712?

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 77692 and 77712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77692 and 77712, than apply into the LCM equation.

GCF(77692,77712) = 4
LCM(77692,77712) = ( 77692 × 77712) / 4
LCM(77692,77712) = 6037600704 / 4
LCM(77692,77712) = 1509400176

Least Common Multiple (LCM) of 77692 and 77712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77692 and 77712. First we will calculate the prime factors of 77692 and 77712.

Prime Factorization of 77692

Prime Factorization of 77712

Now multiplying the highest exponent prime factors to calculate the LCM of 77692 and 77712.

LCM(77692,77712) = 2⁴ × 19423¹ × 3¹ × 1619¹
LCM(77692,77712) = 1509400176