What is the Least Common Multiple of 62215 and 62232?
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 62215 and 62232 is 3871763880.
LCM(62215,62232) = 3871763880
Least Common Multiple of 62215 and 62232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62215 and 62232, than apply into the LCM equation.
GCF(62215,62232) = 1
LCM(62215,62232) = ( 62215 × 62232) / 1
LCM(62215,62232) = 3871763880 / 1
LCM(62215,62232) = 3871763880
Least Common Multiple (LCM) of 62215 and 62232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62215 and 62232. First we will calculate the prime factors of 62215 and 62232.
Prime Factorization of 62215
Prime factors of 62215 are 5, 23, 541. Prime factorization of 62215 in exponential form is:
62215 = 51 × 231 × 5411
Prime Factorization of 62232
Prime factors of 62232 are 2, 3, 2593. Prime factorization of 62232 in exponential form is:
62232 = 23 × 31 × 25931
Now multiplying the highest exponent prime factors to calculate the LCM of 62215 and 62232.
LCM(62215,62232) = 51 × 231 × 5411 × 23 × 31 × 25931
LCM(62215,62232) = 3871763880
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