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What is the Least Common Multiple of 77246 and 77266?

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 77246 and 77266 is 2984244718.

LCM(77246,77266) = 2984244718

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Least Common Multiple of 77246 and 77266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77246 and 77266, than apply into the LCM equation.

GCF(77246,77266) = 2
LCM(77246,77266) = ( 77246 × 77266) / 2
LCM(77246,77266) = 5968489436 / 2
LCM(77246,77266) = 2984244718

Least Common Multiple (LCM) of 77246 and 77266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77246 and 77266. First we will calculate the prime factors of 77246 and 77266.

Prime Factorization of 77246

Prime factors of 77246 are 2, 13, 2971. Prime factorization of 77246 in exponential form is:

77246 = 21 × 131 × 29711

Prime Factorization of 77266

Prime factors of 77266 are 2, 7, 5519. Prime factorization of 77266 in exponential form is:

77266 = 21 × 71 × 55191

Now multiplying the highest exponent prime factors to calculate the LCM of 77246 and 77266.

LCM(77246,77266) = 21 × 131 × 29711 × 71 × 55191
LCM(77246,77266) = 2984244718