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What is the Least Common Multiple of 77225 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 77225 and 77240 is 1192971800.

LCM(77225,77240) = 1192971800

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Least Common Multiple of 77225 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 77225 and 77240, than apply into the LCM equation.

GCF(77225,77240) = 5
LCM(77225,77240) = ( 77225 × 77240) / 5
LCM(77225,77240) = 5964859000 / 5
LCM(77225,77240) = 1192971800

Least Common Multiple (LCM) of 77225 and 77240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77225 and 77240. First we will calculate the prime factors of 77225 and 77240.

Prime Factorization of 77225

Prime factors of 77225 are 5, 3089. Prime factorization of 77225 in exponential form is:

77225 = 52 × 30891

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 77225 and 77240.

LCM(77225,77240) = 52 × 30891 × 23 × 19311
LCM(77225,77240) = 1192971800