What is the Least Common Multiple of 746 and 750?
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 746 and 750 is 279750.
LCM(746,750) = 279750
Least Common Multiple of 746 and 750 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 746 and 750, than apply into the LCM equation.
GCF(746,750) = 2
LCM(746,750) = ( 746 × 750) / 2
LCM(746,750) = 559500 / 2
LCM(746,750) = 279750
Least Common Multiple (LCM) of 746 and 750 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 746 and 750. First we will calculate the prime factors of 746 and 750.
Prime Factorization of 746
Prime factors of 746 are 2, 373. Prime factorization of 746 in exponential form is:
746 = 21 × 3731
Prime Factorization of 750
Prime factors of 750 are 2, 3, 5. Prime factorization of 750 in exponential form is:
750 = 21 × 31 × 53
Now multiplying the highest exponent prime factors to calculate the LCM of 746 and 750.
LCM(746,750) = 21 × 3731 × 31 × 53
LCM(746,750) = 279750
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