What is the Least Common Multiple of 62331 and 62342?
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 62331 and 62342 is 3885839202.
LCM(62331,62342) = 3885839202
Least Common Multiple of 62331 and 62342 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62331 and 62342, than apply into the LCM equation.
GCF(62331,62342) = 1
LCM(62331,62342) = ( 62331 × 62342) / 1
LCM(62331,62342) = 3885839202 / 1
LCM(62331,62342) = 3885839202
Least Common Multiple (LCM) of 62331 and 62342 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62331 and 62342. First we will calculate the prime factors of 62331 and 62342.
Prime Factorization of 62331
Prime factors of 62331 are 3, 79, 263. Prime factorization of 62331 in exponential form is:
62331 = 31 × 791 × 2631
Prime Factorization of 62342
Prime factors of 62342 are 2, 7, 61, 73. Prime factorization of 62342 in exponential form is:
62342 = 21 × 71 × 611 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 62331 and 62342.
LCM(62331,62342) = 31 × 791 × 2631 × 21 × 71 × 611 × 731
LCM(62331,62342) = 3885839202
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