What is the Least Common Multiple of 62962 and 62969?
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 62962 and 62969 is 3964654178.
LCM(62962,62969) = 3964654178
Least Common Multiple of 62962 and 62969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62962 and 62969, than apply into the LCM equation.
GCF(62962,62969) = 1
LCM(62962,62969) = ( 62962 × 62969) / 1
LCM(62962,62969) = 3964654178 / 1
LCM(62962,62969) = 3964654178
Least Common Multiple (LCM) of 62962 and 62969 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62962 and 62969. First we will calculate the prime factors of 62962 and 62969.
Prime Factorization of 62962
Prime factors of 62962 are 2, 31481. Prime factorization of 62962 in exponential form is:
62962 = 21 × 314811
Prime Factorization of 62969
Prime factors of 62969 are 62969. Prime factorization of 62969 in exponential form is:
62969 = 629691
Now multiplying the highest exponent prime factors to calculate the LCM of 62962 and 62969.
LCM(62962,62969) = 21 × 314811 × 629691
LCM(62962,62969) = 3964654178
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