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What is the Least Common Multiple of 64076 and 64090?

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 64076 and 64090 is 2053315420.

LCM(64076,64090) = 2053315420

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Least Common Multiple of 64076 and 64090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64076 and 64090, than apply into the LCM equation.

GCF(64076,64090) = 2
LCM(64076,64090) = ( 64076 × 64090) / 2
LCM(64076,64090) = 4106630840 / 2
LCM(64076,64090) = 2053315420

Least Common Multiple (LCM) of 64076 and 64090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64076 and 64090. First we will calculate the prime factors of 64076 and 64090.

Prime Factorization of 64076

Prime factors of 64076 are 2, 83, 193. Prime factorization of 64076 in exponential form is:

64076 = 22 × 831 × 1931

Prime Factorization of 64090

Prime factors of 64090 are 2, 5, 13, 17, 29. Prime factorization of 64090 in exponential form is:

64090 = 21 × 51 × 131 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 64076 and 64090.

LCM(64076,64090) = 22 × 831 × 1931 × 51 × 131 × 171 × 291
LCM(64076,64090) = 2053315420