What is the Least Common Multiple of 63246 and 63265?
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 63246 and 63265 is 4001258190.
LCM(63246,63265) = 4001258190
Least Common Multiple of 63246 and 63265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63246 and 63265, than apply into the LCM equation.
GCF(63246,63265) = 1
LCM(63246,63265) = ( 63246 × 63265) / 1
LCM(63246,63265) = 4001258190 / 1
LCM(63246,63265) = 4001258190
Least Common Multiple (LCM) of 63246 and 63265 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63246 and 63265. First we will calculate the prime factors of 63246 and 63265.
Prime Factorization of 63246
Prime factors of 63246 are 2, 3, 83, 127. Prime factorization of 63246 in exponential form is:
63246 = 21 × 31 × 831 × 1271
Prime Factorization of 63265
Prime factors of 63265 are 5, 12653. Prime factorization of 63265 in exponential form is:
63265 = 51 × 126531
Now multiplying the highest exponent prime factors to calculate the LCM of 63246 and 63265.
LCM(63246,63265) = 21 × 31 × 831 × 1271 × 51 × 126531
LCM(63246,63265) = 4001258190
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