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What is the Least Common Multiple of 77224 and 77244?

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 (LCM) of 77224 and 77244 is 1491272664.

LCM(77224,77244) = 1491272664

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Least Common Multiple of 77224 and 77244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77224 and 77244, than apply into the LCM equation.

GCF(77224,77244) = 4
LCM(77224,77244) = ( 77224 × 77244) / 4
LCM(77224,77244) = 5965090656 / 4
LCM(77224,77244) = 1491272664

Least Common Multiple (LCM) of 77224 and 77244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77224 and 77244. First we will calculate the prime factors of 77224 and 77244.

Prime Factorization of 77224

Prime factors of 77224 are 2, 7, 197. Prime factorization of 77224 in exponential form is:

77224 = 23 × 72 × 1971

Prime Factorization of 77244

Prime factors of 77244 are 2, 3, 41, 157. Prime factorization of 77244 in exponential form is:

77244 = 22 × 31 × 411 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 77224 and 77244.

LCM(77224,77244) = 23 × 72 × 1971 × 31 × 411 × 1571
LCM(77224,77244) = 1491272664