What is the Least Common Multiple of 63273 and 63290?
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 63273 and 63290 is 4004548170.
LCM(63273,63290) = 4004548170
Least Common Multiple of 63273 and 63290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63273 and 63290, than apply into the LCM equation.
GCF(63273,63290) = 1
LCM(63273,63290) = ( 63273 × 63290) / 1
LCM(63273,63290) = 4004548170 / 1
LCM(63273,63290) = 4004548170
Least Common Multiple (LCM) of 63273 and 63290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63273 and 63290. First we will calculate the prime factors of 63273 and 63290.
Prime Factorization of 63273
Prime factors of 63273 are 3, 7, 23, 131. Prime factorization of 63273 in exponential form is:
63273 = 31 × 71 × 231 × 1311
Prime Factorization of 63290
Prime factors of 63290 are 2, 5, 6329. Prime factorization of 63290 in exponential form is:
63290 = 21 × 51 × 63291
Now multiplying the highest exponent prime factors to calculate the LCM of 63273 and 63290.
LCM(63273,63290) = 31 × 71 × 231 × 1311 × 21 × 51 × 63291
LCM(63273,63290) = 4004548170
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