What is the Least Common Multiple of 62223 and 62236?
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 62223 and 62236 is 3872510628.
LCM(62223,62236) = 3872510628
Least Common Multiple of 62223 and 62236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62223 and 62236, than apply into the LCM equation.
GCF(62223,62236) = 1
LCM(62223,62236) = ( 62223 × 62236) / 1
LCM(62223,62236) = 3872510628 / 1
LCM(62223,62236) = 3872510628
Least Common Multiple (LCM) of 62223 and 62236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62223 and 62236. First we will calculate the prime factors of 62223 and 62236.
Prime Factorization of 62223
Prime factors of 62223 are 3, 7, 2963. Prime factorization of 62223 in exponential form is:
62223 = 31 × 71 × 29631
Prime Factorization of 62236
Prime factors of 62236 are 2, 15559. Prime factorization of 62236 in exponential form is:
62236 = 22 × 155591
Now multiplying the highest exponent prime factors to calculate the LCM of 62223 and 62236.
LCM(62223,62236) = 31 × 71 × 29631 × 22 × 155591
LCM(62223,62236) = 3872510628
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