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What is the Least Common Multiple of 19070 and 19085?

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 19070 and 19085 is 72790190.

LCM(19070,19085) = 72790190

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Least Common Multiple of 19070 and 19085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19070 and 19085, than apply into the LCM equation.

GCF(19070,19085) = 5
LCM(19070,19085) = ( 19070 × 19085) / 5
LCM(19070,19085) = 363950950 / 5
LCM(19070,19085) = 72790190

Least Common Multiple (LCM) of 19070 and 19085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19070 and 19085. First we will calculate the prime factors of 19070 and 19085.

Prime Factorization of 19070

Prime factors of 19070 are 2, 5, 1907. Prime factorization of 19070 in exponential form is:

19070 = 21 × 51 × 19071

Prime Factorization of 19085

Prime factors of 19085 are 5, 11, 347. Prime factorization of 19085 in exponential form is:

19085 = 51 × 111 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 19070 and 19085.

LCM(19070,19085) = 21 × 51 × 19071 × 111 × 3471
LCM(19070,19085) = 72790190