What is the Least Common Multiple of 76214 and 76224?

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 76214 and 76224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76214 and 76224, than apply into the LCM equation.

GCF(76214,76224) = 2
LCM(76214,76224) = ( 76214 × 76224) / 2
LCM(76214,76224) = 5809335936 / 2
LCM(76214,76224) = 2904667968

Least Common Multiple (LCM) of 76214 and 76224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76214 and 76224. First we will calculate the prime factors of 76214 and 76224.

Prime Factorization of 76214

Prime Factorization of 76224

Now multiplying the highest exponent prime factors to calculate the LCM of 76214 and 76224.

LCM(76214,76224) = 2⁶ × 53¹ × 719¹ × 3¹ × 397¹
LCM(76214,76224) = 2904667968