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What is the Least Common Multiple of 77050 and 77062?

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 77050 and 77062 is 2968813550.

LCM(77050,77062) = 2968813550

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Least Common Multiple of 77050 and 77062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77050 and 77062, than apply into the LCM equation.

GCF(77050,77062) = 2
LCM(77050,77062) = ( 77050 × 77062) / 2
LCM(77050,77062) = 5937627100 / 2
LCM(77050,77062) = 2968813550

Least Common Multiple (LCM) of 77050 and 77062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77050 and 77062. First we will calculate the prime factors of 77050 and 77062.

Prime Factorization of 77050

Prime factors of 77050 are 2, 5, 23, 67. Prime factorization of 77050 in exponential form is:

77050 = 21 × 52 × 231 × 671

Prime Factorization of 77062

Prime factors of 77062 are 2, 53, 727. Prime factorization of 77062 in exponential form is:

77062 = 21 × 531 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 77050 and 77062.

LCM(77050,77062) = 21 × 52 × 231 × 671 × 531 × 7271
LCM(77050,77062) = 2968813550