What is the Least Common Multiple of 62963 and 62968?
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 62963 and 62968 is 3964654184.
LCM(62963,62968) = 3964654184
Least Common Multiple of 62963 and 62968 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62963 and 62968, than apply into the LCM equation.
GCF(62963,62968) = 1
LCM(62963,62968) = ( 62963 × 62968) / 1
LCM(62963,62968) = 3964654184 / 1
LCM(62963,62968) = 3964654184
Least Common Multiple (LCM) of 62963 and 62968 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62963 and 62968. First we will calculate the prime factors of 62963 and 62968.
Prime Factorization of 62963
Prime factors of 62963 are 79, 797. Prime factorization of 62963 in exponential form is:
62963 = 791 × 7971
Prime Factorization of 62968
Prime factors of 62968 are 2, 17, 463. Prime factorization of 62968 in exponential form is:
62968 = 23 × 171 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 62963 and 62968.
LCM(62963,62968) = 791 × 7971 × 23 × 171 × 4631
LCM(62963,62968) = 3964654184
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