What is the Least Common Multiple of 62234 and 62251?
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 62234 and 62251 is 3874128734.
LCM(62234,62251) = 3874128734
Least Common Multiple of 62234 and 62251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62234 and 62251, than apply into the LCM equation.
GCF(62234,62251) = 1
LCM(62234,62251) = ( 62234 × 62251) / 1
LCM(62234,62251) = 3874128734 / 1
LCM(62234,62251) = 3874128734
Least Common Multiple (LCM) of 62234 and 62251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62234 and 62251. First we will calculate the prime factors of 62234 and 62251.
Prime Factorization of 62234
Prime factors of 62234 are 2, 29, 37. Prime factorization of 62234 in exponential form is:
62234 = 21 × 292 × 371
Prime Factorization of 62251
Prime factors of 62251 are 7, 8893. Prime factorization of 62251 in exponential form is:
62251 = 71 × 88931
Now multiplying the highest exponent prime factors to calculate the LCM of 62234 and 62251.
LCM(62234,62251) = 21 × 292 × 371 × 71 × 88931
LCM(62234,62251) = 3874128734
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