What is the Least Common Multiple of 49692 and 49712?

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 49692 and 49712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49692 and 49712, than apply into the LCM equation.

GCF(49692,49712) = 4
LCM(49692,49712) = ( 49692 × 49712) / 4
LCM(49692,49712) = 2470288704 / 4
LCM(49692,49712) = 617572176

Least Common Multiple (LCM) of 49692 and 49712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49692 and 49712. First we will calculate the prime factors of 49692 and 49712.

Prime Factorization of 49692

Prime Factorization of 49712

Now multiplying the highest exponent prime factors to calculate the LCM of 49692 and 49712.

LCM(49692,49712) = 2⁴ × 3¹ × 41¹ × 101¹ × 13¹ × 239¹
LCM(49692,49712) = 617572176