What is the Least Common Multiple of 62270 and 62274?
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 62270 and 62274 is 1938900990.
LCM(62270,62274) = 1938900990
Least Common Multiple of 62270 and 62274 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62270 and 62274, than apply into the LCM equation.
GCF(62270,62274) = 2
LCM(62270,62274) = ( 62270 × 62274) / 2
LCM(62270,62274) = 3877801980 / 2
LCM(62270,62274) = 1938900990
Least Common Multiple (LCM) of 62270 and 62274 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62270 and 62274. First we will calculate the prime factors of 62270 and 62274.
Prime Factorization of 62270
Prime factors of 62270 are 2, 5, 13, 479. Prime factorization of 62270 in exponential form is:
62270 = 21 × 51 × 131 × 4791
Prime Factorization of 62274
Prime factors of 62274 are 2, 3, 97, 107. Prime factorization of 62274 in exponential form is:
62274 = 21 × 31 × 971 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 62270 and 62274.
LCM(62270,62274) = 21 × 51 × 131 × 4791 × 31 × 971 × 1071
LCM(62270,62274) = 1938900990
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