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What is the Least Common Multiple of 77226 and 77240?

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 77226 and 77240 is 2982468120.

LCM(77226,77240) = 2982468120

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Least Common Multiple of 77226 and 77240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77226 and 77240, than apply into the LCM equation.

GCF(77226,77240) = 2
LCM(77226,77240) = ( 77226 × 77240) / 2
LCM(77226,77240) = 5964936240 / 2
LCM(77226,77240) = 2982468120

Least Common Multiple (LCM) of 77226 and 77240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77226 and 77240. First we will calculate the prime factors of 77226 and 77240.

Prime Factorization of 77226

Prime factors of 77226 are 2, 3, 61, 211. Prime factorization of 77226 in exponential form is:

77226 = 21 × 31 × 611 × 2111

Prime Factorization of 77240

Prime factors of 77240 are 2, 5, 1931. Prime factorization of 77240 in exponential form is:

77240 = 23 × 51 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 77226 and 77240.

LCM(77226,77240) = 23 × 31 × 611 × 2111 × 51 × 19311
LCM(77226,77240) = 2982468120