What is the Least Common Multiple of 62746 and 62755?
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 62746 and 62755 is 3937625230.
LCM(62746,62755) = 3937625230
Least Common Multiple of 62746 and 62755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62746 and 62755, than apply into the LCM equation.
GCF(62746,62755) = 1
LCM(62746,62755) = ( 62746 × 62755) / 1
LCM(62746,62755) = 3937625230 / 1
LCM(62746,62755) = 3937625230
Least Common Multiple (LCM) of 62746 and 62755 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62746 and 62755. First we will calculate the prime factors of 62746 and 62755.
Prime Factorization of 62746
Prime factors of 62746 are 2, 137, 229. Prime factorization of 62746 in exponential form is:
62746 = 21 × 1371 × 2291
Prime Factorization of 62755
Prime factors of 62755 are 5, 7, 11, 163. Prime factorization of 62755 in exponential form is:
62755 = 51 × 71 × 111 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 62746 and 62755.
LCM(62746,62755) = 21 × 1371 × 2291 × 51 × 71 × 111 × 1631
LCM(62746,62755) = 3937625230
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