What is the Least Common Multiple of 63238 and 63246?
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 63238 and 63246 is 1999775274.
LCM(63238,63246) = 1999775274
Least Common Multiple of 63238 and 63246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63238 and 63246, than apply into the LCM equation.
GCF(63238,63246) = 2
LCM(63238,63246) = ( 63238 × 63246) / 2
LCM(63238,63246) = 3999550548 / 2
LCM(63238,63246) = 1999775274
Least Common Multiple (LCM) of 63238 and 63246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63238 and 63246. First we will calculate the prime factors of 63238 and 63246.
Prime Factorization of 63238
Prime factors of 63238 are 2, 7, 4517. Prime factorization of 63238 in exponential form is:
63238 = 21 × 71 × 45171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 63238 and 63246.
LCM(63238,63246) = 21 × 71 × 45171 × 31 × 831 × 1271
LCM(63238,63246) = 1999775274
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